Step-by-step explanation:
it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).
what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.
since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).
and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.
AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).
the area of this triangle AOB is
1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =
= 3.897114317... m²
a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).
so, it's area is
pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²
so, the total area of the shaded area is
3.897114317... m² + 4.71238898... m² =
= 8.609503297... m²
Answer:
Step-by-step explanation:
here you go mate'
step 1
11 = y-6 equation
step 2
11+6=y-6+6 add 6 to the sides
answer
y=17
can i get brainliest if you dont mind?
Answer:
oh noooooooooooooo
Step-by-step explanation:
take this (*￣3￣)╭
Answer:
Step-by-step explanation:
To find the least number of party favors, we have to consider the number of guests.
In this case, there are two possibilities—6 or 8.
For 6: 6, 12, 18, 24 (Add 6 to each number)
For 8: 8, 16, 24 (Add 8 to each number)
Now in both series, the least number (that is in common) is 24. Hence, Madison should make at least 24 party favors.
Answer:
true
Step-by-step explanation:
if the vertical lines are not parallel, then the corresponding angles are not congruent.
8x + 2 = 14x - 76
8x - 14x = -76 -2
-6x = -78
x = 13
8(13) + 2 = 14(13) - 76
106 = 106---- equal
the vertical lines is a bit confusing.... they looks like not a parallel lines
